topic badge

8.04 Solving systems of equations with a variety of methods

Interactive practice questions

A system of equations is shown.

  • $5x+3y=15$5x+3y=15
  • $\frac{6y}{5}=10-4x$6y5=104x

What is the solution to the system?

$x=2,y=3$x=2,y=3

A

$x=\frac{10}{3},y=\frac{5}{2}$x=103,y=52

B

$x=\frac{5}{2},y=\frac{3}{5}$x=52,y=35

C

$x=2,y=\frac{5}{3}$x=2,y=53

D
Medium
1min

The graphical solution of a system of two linear equations can be described as:

Easy
< 1min

Consider the system of linear equations

$-3x-12y$3x12y $=$= $6$6
$-2x-4y$2x4y $=$= $-4$4
Easy
< 1min

Consider the system of linear equations

$4x+4y$4x+4y $=$= $6$6
$5x+3y$5x+3y $=$= $3$3
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.3.A

Formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic

What is Mathspace

About Mathspace